Finding the Fourth Proportional to 1,019.11, 1,406.31 and 577.15

Step by Step Solution

1. Step 1: Write the proportion equation
   1,019.11 : 1,406.31 = 577.15 : x
2. Step 2: Convert to fraction form
   1,019.11/1,406.31 = 577.15/x
3. Step 3: Cross multiply
   1,019.11x = 1,406.31 × 577.15
4. Step 4: Simplify right side
   1,019.11x = 811,651.82
5. Step 5: Solve for x
   x = 811,651.82/1,019.11
6. Step 6: Final answer
   x = 796.43